Mix-point property in quasi-pseudometric spaces
Functional Analysis
2017-03-02 v1
Abstract
In this article, we give new results in the startpoint theory for quasi-pseudometric spaces. The results we present provide us with the existence of startpoint (endpoint, fixed point) for multi-valued maps defined on a bicomplete quasi-pseudometric space. We characterise the existence of startpoint and endpoint by the so-called \textit{mix-point property}. The present results extend known ones in the area.
Cite
@article{arxiv.1703.00145,
title = {Mix-point property in quasi-pseudometric spaces},
author = {Yaé Olatoundji Gaba},
journal= {arXiv preprint arXiv:1703.00145},
year = {2017}
}